Link goes to a list of regular cocktails a bartender could make n/a versions of, like a mojito, mule, piña colada, etc. You also can ask what fruit juices they have and get one with club soda (pineapple, grapefruit, cranberry, orange should be there).
If it's really busy and loud, and hard to communicate, club soda+lime or lemon should be easily understood and there's a decent chance they won't charge you (have cash to tip anyway!). Otherwise, don't be afraid to ask the bartender, too. The bar might have n/a beer or spirits. Check their website and see if there's a beverage menu you can look at before you go.
google a list of 'classic cocktails' and try and find something that strikes your fancy. it really depends on the type of bar you visit, but more upscale places should be able to make any of the 'classics' despite them often not being on the menu. But besides that, you should try a Moscow Mule if you haven't. It's a simple, tasty drink you can get at basically any bar. oh, one last thing, if the bar is empty, chat with the bartender and ask what they think!
here are some of the classics to get you started: :)
:D
:P ¯\_(ツ)_/¯ ( ͡° ͜ʖ ͡°) ༼ つ ◕_◕ ༽つ (ಥ﹏ಥ) (ง'̀-'́)ง Have fun out there and be kind to one another.